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Finding the Fourth Proportional to 75,651, 104,363.34 and 48,802.17

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Solution

The fourth proportional to 75,651, 104,363.34 and 48,802.17 is: 67,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,651 : 104,363.34 = 48,802.17 : x
  2. Step 2: Convert to fraction form
    75,651/104,363.34 = 48,802.17/x
  3. Step 3: Cross multiply
    75,651x = 104,363.34 × 48,802.17
  4. Step 4: Simplify right side
    75,651x = 5,093,157,460.45
  5. Step 5: Solve for x
    x = 5,093,157,460.45/75,651
  6. Step 6: Final answer
    x = 67,324.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.